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Finding the Fourth Proportional to 20,578.25, 30,867.38 and 7,430.64

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Solution

The fourth proportional to 20,578.25, 30,867.38 and 7,430.64 is: 11,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.25 : 30,867.38 = 7,430.64 : x
  2. Step 2: Convert to fraction form
    20,578.25/30,867.38 = 7,430.64/x
  3. Step 3: Cross multiply
    20,578.25x = 30,867.38 × 7,430.64
  4. Step 4: Simplify right side
    20,578.25x = 229,364,263.48
  5. Step 5: Solve for x
    x = 229,364,263.48/20,578.25
  6. Step 6: Final answer
    x = 11,145.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.